IEEE Trans Vis Comput Graph - Linear Correlations between Spatial and Normal Noise in Triangle Meshes.

Tópicos

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Resumo

We study the relationship between the noise in the vertex coordinates of a triangle mesh and normal noise. First, we compute in closed form the expectation for the angle between the new and the old normal when uniform noise is added to a single vertex of a triangle. Next, we propose and experimentally validate an approximation and lower and upper bounds for when uniform noise is added to all three vertices of the triangle. In all cases, for small amounts of spatial noise that do not severely distort the mesh, there is a linear correlation between and simple functions of the heights of the triangles and thus, can be computed efficiently. The addition of uniform spatial noise to a mesh can be seen as a dithered quantization of its vertices. We use the obtained linear correlations between spatial and normal noise to compute the level of dithered quantization of the mesh vertices when a tolerance for the average normal distortion is given.

Resumo Limpo

studi relationship nois vertex coordin triangl mesh normal nois first comput close form expect angl new old normal uniform nois ad singl vertex triangl next propos experiment valid approxim lower upper bound uniform nois ad three vertic triangl case small amount spatial nois sever distort mesh linear correl simpl function height triangl thus can comput effici addit uniform spatial nois mesh can seen dither quantiz vertic use obtain linear correl spatial normal nois comput level dither quantiz mesh vertic toler averag normal distort given

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